As a salt dissolves in methanol, the number x(t) of grams of the salt in a...

 

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As a salt dissolves in methanol, the number x(t) of grams of the salt in a solution after t seconds satisfies the differential equation (a) What is the maximum amount of the salt that will ever dissolve in the methanol? (b) If x=50 when t=0, how long will it take for an additional 50 g of salt to dissolve? dx dt -=2.4x-0.008x² As a salt dissolves in methanol, the number x(t) of grams of the salt in a solution after t seconds satisfies the differential equation (a) What is the maximum amount of the salt that will ever dissolve in the methanol? (b) If x=50 when t=0, how long will it take for an additional 50 g of salt to dissolve? dx dt -=2.4x-0.008x²